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Finding the Fourth Proportional to 708.17, 976.86 and 521.33

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Solution

The fourth proportional to 708.17, 976.86 and 521.33 is: 719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.17 : 976.86 = 521.33 : x
  2. Step 2: Convert to fraction form
    708.17/976.86 = 521.33/x
  3. Step 3: Cross multiply
    708.17x = 976.86 × 521.33
  4. Step 4: Simplify right side
    708.17x = 509,261.54
  5. Step 5: Solve for x
    x = 509,261.54/708.17
  6. Step 6: Final answer
    x = 719.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.